Quote: "The song of the righteous is a prayer unto me, and it shall be answered with a blessing upon their heads." D&C 25:12
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New Year sheet music (31 Free Arrangements)
You could also filter these songs (limit them) by type. Currently:

SA, SAA, SAB, SATB, SSA, TB, 2 part…, Duet, Primary…, Trio, Vocal Solo
By:
Amanda Christensen
Topics:
Activation…, Adversity, Agency…, Atonement…, Baptism, Birthday, Blessings, Book of…, Charity, Children, Children's Songs, Christ, Comfort…, Consecration, Courage, Creator, Death/Funeral, Dedication of…, Depression…, Diligence…, EFY style…, Earth/Nature, Easter, Encouragement, Enthusiasm, Eternal Life…, Faith, Farewell, Fatherhood…, Fellowship, Friend/Friendship, Gathering of…, Goals, Gospel, Gratitude…, Guidance, Happiness…, Heaven…, Heavenly Father, Holy…, Hope, Humility/Meekness, Individual Worth…, Joseph Smith, Knowledge/Truth, Learning, Light/Sun, Love, Lullabies, Marriage/Wedding, Meditation, Miracles, Missionary Work, Motherhood…, Motivation, Music and…, Nature, New Year, Obedience…, Patience, Peace, Pioneers, Plan of…, Praise, Prayer, Relief Society…, Remember…, Repentance, Restoration, Resurrection, Revelation, Reverence, Righteousness…, Sabbath, Savior…, Self-Improvement, Self-control, Spirit, Strength, Supplication, Temperance, Temple, Testimony, Trials, Trust in…, Truth…, Unity, Virtue/Chastity, Worship, Worthiness, Youth…, Zion, Stand in…, Women Unison, Youth Choir


SATB, Harp…, Youth Choir…
By:
Vincent Allen
Topics:
Atonement…, Baptism, Blessings, Brotherhood, Christ, Christmas, Comfort…, Compassion, Creation…, Creator, Death/Funeral, Easter, Encouragement, Eternal Life…, Faith, Fall, Family, Fellowship, Forgiveness, Gathering of…, Gratitude…, Happiness…, Heaven…, Heavenly Father, Hope, Israel, Leadership/Shepherd, Light/Sun, Love, Meditation, New Year, Obedience…, Patience, Peace, Plan of…, Praise, Prayer, Priesthood, Prophets, Remember…, Repentance, Restoration, Resurrection, Revelation, Reverence, Righteousness…, Sacrament, Sacrifice, Savior…, Sorrow, Spirit, Supplication, Temptation, Testimony, Trust in…, Truth…, Unity, Word of…, Worship, Piano

SA, Duet, Guitar Chords…
By:
Jennifer Hoopes
Topics:
Adversity, Agency…, Comfort…, Courage, Depression…, Encouragement, Faith, Hope, Individual Worth…, Motivation, New Year, Savior…, Self-Improvement, Strength, Trials, Trust in…, Youth…


SATB, Vocal Solo
By:
Andrew Moore
Topics:
Atonement…, Blessings, Book of…, Children's Songs, Christ, Christmas, Comfort…, Commandments, Depression…, Diligence…, Easter, Encouragement, Eternal Life…, Evening, Faith, Gratitude…, Guidance, Holy…, Hope, Humility/Meekness, Individual Worth…, Leadership/Shepherd, Love, Missionary Work, New Year, Obedience…, Parables, Peace, Praise, Prayer, Priesthood, Reverence, Righteousness…, Sabbath, Sacrament, Savior…, Scriptures…, Second Coming…, Self-Improvement, Service, Spirit, Strength, Teaching…, Temple, Trials, Trust in…, Worship, Worthiness, Youth Choir

ST, Duet, Organ…
By:
Samuel Call
Topics:
Agency…, Atonement…, Christmas, Comfort…, Courage, Death/Funeral, Earth/Nature, Easter, Encouragement, Eternal Life…, Faith, Forgiveness, Happiness…, Humility/Meekness, Light/Sun, New Year, Pioneers, Repentance, Savior…, Self-Improvement, Strength, Testimony, Trust in…, Piano

Brass Quintet, Harp…, Organ…, Percussion
By:
Vincent Allen
Topics:
Atonement…, Brotherhood, Children, Christmas, Comfort…, Creation…, Creator, Depression…, Diligence…, Easter, Encouragement, Eternal Life…, Faith, Fellowship, Gathering of…, Gospel, Gratitude…, Happiness…, Love, New Year, Praise, Prayer, Repentance, Restoration, Reverence, Righteousness…, Savior…, Temperance, Trials, Trust in…, Worship, Medley


SSA
By:
Ben Alder
Topics:
Atonement…, Brotherhood, Children, Christmas, Comfort…, Creation…, Creator, Depression…, Diligence…, Easter, Encouragement, Eternal Life…, Faith, Fellowship, Gathering of…, Gospel, Gratitude…, Happiness…, Love, New Year, Praise, Prayer, Repentance, Restoration, Reverence, Righteousness…, Savior…, Temperance, Trials, Trust in…, Worship, Piano
Organ…, Piano Prelude…
By:
Keith Rowley
Topics:
Adversity, Atonement…, Blessings, Charity, Children, Children's Songs, Christ, Christmas, Comfort…, Compassion, Courage, Death/Funeral, Depression…, Diligence…, Duty, Earth/Nature, Easter, Encouragement, Eternal Life…, Example, Faith, Family, Farewell, Forgiveness, Gathering of…, Gratitude…, Guidance, Happiness…, Heaven…, Heavenly Father, Holy…, Home/Family, Hope, Humility/Meekness, Individual Worth…, Kindness, Leadership/Shepherd, Light/Sun, Love, Lullabies, Missionary Work, Motivation, New Year, Obedience…, Peace, Plan of…, Praise, Prayer, Preparedness, Relief Society…, Remember…, Repentance, Resurrection, Righteousness…, Sacrament, Sacrifice, Savior…, Second Coming…, Self-Improvement, Service, Sorrow, Spirit, Strength, Supplication, Temple, Temptation, Testimony, Trials, Trust in…, Worthiness, Youth Mutual…, Book of…, Languages
SATB, Organ…, Trumpet
By:
Vincent Allen
Topics:
Atonement…, Christ, Comfort…, Compassion, Creation…, Creator, Easter, Encouragement, Eternal Life…, Faith, Forgiveness, Gathering of…, Gospel, Gratitude…, Heaven…, Heavenly Father, Holy…, Israel, Knowledge/Truth, Love, Meditation, New Year, Peace, Plan of…, Praise, Prayer, Priesthood, Repentance, Restoration, Resurrection, Revelation, Righteousness…, Sabbath, Sacrament, Sacrifice, Savior…, Second Coming…, Trust in…, Truth…, Word of…, Worship, A Cappella…, Youth Choir

SATB, Choir Unison
By:
Andrew Moore
Topics:
Atonement…, Christ, Easter, New Year, Resurrection, Sacrament, Sacrifice, Savior…

SATB, Organ…, Youth Choir…
By:
Vincent Allen
Topics:
Blessings, Brotherhood, Charity, Christ, Christmas, Comfort…, Compassion, Creation…, Creator, Easter, Eternal Life…, Faith, Family, Forgiveness, Gathering of…, Gospel, Gratitude…, Happiness…, Heaven…, Heavenly Father, Holy…, Leadership/Shepherd, Light/Sun, Love, Meditation, New Year, Plan of…, Praise, Priesthood, Prophets, Restoration, Resurrection, Righteousness…, Second Coming…, Trust in…, Truth…, Word of…, Worship

You can also get a (possibly more complete) list of hymns for this topic (New Year) here.